On conjugacy equation in dimension one

Krzysztof Ciepliński; Zbigniew Leśniak

Banach Center Publications (2013)

  • Volume: 99, Issue: 1, page 31-44
  • ISSN: 0137-6934

Abstract

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In this paper, recent results on the existence and uniqueness of (continuous and homeomorphic) solutions φ of the equation φ ∘ f = g ∘ φ (f and g are given self-maps of an interval or the circle) are surveyed. Some applications of these results as well as the outcomes concerning systems of such equations are also presented.

How to cite

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Krzysztof Ciepliński, and Zbigniew Leśniak. "On conjugacy equation in dimension one." Banach Center Publications 99.1 (2013): 31-44. <http://eudml.org/doc/282494>.

@article{KrzysztofCiepliński2013,
abstract = {In this paper, recent results on the existence and uniqueness of (continuous and homeomorphic) solutions φ of the equation φ ∘ f = g ∘ φ (f and g are given self-maps of an interval or the circle) are surveyed. Some applications of these results as well as the outcomes concerning systems of such equations are also presented.},
author = {Krzysztof Ciepliński, Zbigniew Leśniak},
journal = {Banach Center Publications},
keywords = {conjugacy equation; topological semi-conjugacy; topological conjugacy},
language = {eng},
number = {1},
pages = {31-44},
title = {On conjugacy equation in dimension one},
url = {http://eudml.org/doc/282494},
volume = {99},
year = {2013},
}

TY - JOUR
AU - Krzysztof Ciepliński
AU - Zbigniew Leśniak
TI - On conjugacy equation in dimension one
JO - Banach Center Publications
PY - 2013
VL - 99
IS - 1
SP - 31
EP - 44
AB - In this paper, recent results on the existence and uniqueness of (continuous and homeomorphic) solutions φ of the equation φ ∘ f = g ∘ φ (f and g are given self-maps of an interval or the circle) are surveyed. Some applications of these results as well as the outcomes concerning systems of such equations are also presented.
LA - eng
KW - conjugacy equation; topological semi-conjugacy; topological conjugacy
UR - http://eudml.org/doc/282494
ER -

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